New Results In The Theory Of Topological Classification Of Integrable Systems
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New Results in the Theory of Topological Classification of Integrable Systems
Author | : A. T. Fomenko |
Publsiher | : American Mathematical Soc. |
Total Pages | : 204 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 0821804804 |
Download New Results in the Theory of Topological Classification of Integrable Systems Book in PDF, Epub and Kindle
This collection contains new results in the topological classification of integrable Hamiltonian systems. Recently, this subject has been applied to interesting problems in geometry and topology, classical mechanics, mathematical physics, and computer geometry. This new stage of development of the theory is reflected in this collection. Among the topics covered are: classification of some types of singularities of the moment map (including non-Bott types), computation of topological invariants for integrable systems describing various problems in mechanics and mathematical physics, construction of a theory of bordisms of integrable systems, and solution of some problems of symplectic topology arising naturally within this theory. A list of unsolved problems allows young mathematicians to become quickly involved in this active area of research.
Topological Classification of Integrable Systems
Author | : A. T. Fomenko |
Publsiher | : American Mathematical Soc. |
Total Pages | : 448 |
Release | : 1991 |
Genre | : Differential equations |
ISBN | : 082184105X |
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Integrable Hamiltonian Systems
Author | : A.V. Bolsinov,A.T. Fomenko |
Publsiher | : CRC Press |
Total Pages | : 752 |
Release | : 2004-02-25 |
Genre | : Mathematics |
ISBN | : 9780203643426 |
Download Integrable Hamiltonian Systems Book in PDF, Epub and Kindle
Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological invariants. The authors,
Modern Geometric Computing for Visualization
Author | : Tosiyasu L. Kunii,Yoshihisa Shinagawa |
Publsiher | : Springer Science & Business Media |
Total Pages | : 271 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 9784431682073 |
Download Modern Geometric Computing for Visualization Book in PDF, Epub and Kindle
This volume is on "modem geometric computing for visualization" which is at the forefront of multi-disciplinary advanced research areas. This area is attracting intensive research interest across many application fields: singularity in cosmology, turbulence in ocean engineering, high energy physics, molecular dynamics, environmental problems, modem mathe matics, computer graphics, and pattern recognition. Visualization re quires the computation of displayable shapes which are becoming more and more complex in proportion to the complexity of the objects and phenomena visualized. Fast computation requires information locality. Attaining information locality is achieved through characterizing the shapes in geometry and topology, and the large amount of computation required through the use of supercomputers. This volume contains the initial results of our efforts to satisfy these re quirements by inviting experts and selecting new research works through review processes. To be more specific, this book presents the proceedings of the International Workshop on Modem Geometric Computing for Visualization held at Kogakuin University, Tokyo, Japan, June 29-30, 1992 organized by the Computer Graphics Society, Japan Personal Com puter Software Association, Kogakuin University, and the Department of Information Science, Faculty of Science, The University of Tokyo. We received extremely high-quality papers for review from five different countries, one from Australia, one from Italy, four from Japan, one from Singapore and three from the United States, and we accepted eight papers and rejected two.
World Translations Index
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 488 |
Release | : 1997 |
Genre | : Science |
ISBN | : UOM:39015079906684 |
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Functional Analysis and Geometry Selim Grigorievich Krein Centennial
Author | : Peter Kuchment,Evgeny Semenov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 300 |
Release | : 2019-07-26 |
Genre | : Festschriften |
ISBN | : 9781470437824 |
Download Functional Analysis and Geometry Selim Grigorievich Krein Centennial Book in PDF, Epub and Kindle
This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 734. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union. The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in functional analysis, operator theory, several complex variables, topological dynamics, and algebraic, convex, and integral geometry.
Mechanics Analysis and Geometry 200 Years after Lagrange
Author | : M. Francaviglia |
Publsiher | : Elsevier |
Total Pages | : 572 |
Release | : 2012-12-02 |
Genre | : Science |
ISBN | : 9780444597373 |
Download Mechanics Analysis and Geometry 200 Years after Lagrange Book in PDF, Epub and Kindle
Providing a logically balanced and authoritative account of the different branches and problems of mathematical physics that Lagrange studied and developed, this volume presents up-to-date developments in differential goemetry, dynamical systems, the calculus of variations, and celestial and analytical mechanics.
Topology of Integrable Systems
Author | : D. B. Zotev |
Publsiher | : Unknown |
Total Pages | : 158 |
Release | : 2010 |
Genre | : Geometry, Differential |
ISBN | : 1904868878 |
Download Topology of Integrable Systems Book in PDF, Epub and Kindle
The topological theory of integrable Hamiltonian systems was created by Anatoly Fomenko and developed by his followers. In this article, It is briefly described on a level of strictness sufficient for self-dependent applications. Some new results, illustrating the theses of the theory and the loop molecule method by Alexey Bolsinov, are presented.